What is the tangent of f(x)=5-x^2,\at x=-1 ?

The tangent of f(x)=5-x^2,\at x=-1 is y=2x+6

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tangent of f(x)=5-x^2,\at x=-1

tangent of

f (x) = 5 - x^{2}, at x = - 1

y = 2 x + 6

Solution steps

Find the tangent point:

(- 1, 4)

Find the slope of

f (x) = 5 - x^{2} : \frac{df ( x )}{d x} = - 2 x

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = 2

Find the line with slope m=

2

and passing through

(- 1, 4) : y = 2 x + 6

y = 2 x + 6

What is the tangent of f(x)=5-x^2,\at x=-1 ?
The tangent of f(x)=5-x^2,\at x=-1 is y=2x+6